数学系 Seminar 第1971期
数学系“60周年”系庆系列报告
报告主题:振荡积分与牛顿多面体
报告人:燕敦验 教授 (中国科学院大学)
报告时间:2020年7月17日(周五)15:00-17:00
参会方式:腾讯会议
https://meeting.tencent.com/s/kwTq1fsMwsqy
会议 ID:340 213 014
邀请人:赵发友
主办部门:理学院数学系
报告摘要:In this talk, we will introduce a class of oscillatory integral operators with the kernel being smooth function and compact support. Stein and Phong investigated those operators and obtained the sharp $L^2$ decay estimates. We obtain the sharp $L^p$ decay estimates of the oscillatory integral operators with homogeneous polynomial phases. As a result, we also give the sharp $L^p$-boundedness of the generalized Fourier transform.
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